What is the Greatest Common Factor of 79355 and 79368?

Greatest common factor (GCF) of 79355 and 79368 is 1.

GCF(79355,79368) = 1

We will now calculate the prime factors of 79355 and 79368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79355 and 79368.

How to find the GCF of 79355 and 79368?

We will first find the prime factorization of 79355 and 79368. After we will calculate the factors of 79355 and 79368 and find the biggest common factor number .

Step-1: Prime Factorization of 79355

Prime factors of 79355 are 5, 59, 269. Prime factorization of 79355 in exponential form is:

79355 = 5¹ × 59¹ × 269¹

Step-2: Prime Factorization of 79368

Prime factors of 79368 are 2, 3, 3307. Prime factorization of 79368 in exponential form is:

79368 = 2³ × 3¹ × 3307¹

Step-3: Factors of 79355

List of positive integer factors of 79355 that divides 79355 without a remainder.

1, 5, 59, 269, 295, 1345, 15871

Step-4: Factors of 79368

List of positive integer factors of 79368 that divides 79355 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3307, 6614, 9921, 13228, 19842, 26456, 39684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79355 and 79368. The biggest common factor number is the GCF number.
So the greatest common factor 79355 and 79368 is 1.

Also check out the Least Common Multiple of 79355 and 79368